The asymptotic zero distribution of sections and tails of classical Lindelöf functions

Date
2010
Authors
Ostrovskii, I.
Zheltukhina, N.
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Source Title
Mathematische nachrichten
Print ISSN
0025-584X
Electronic ISSN
1522-2616
Publisher
Volume
283
Issue
4
Pages
573 - 587
Language
English
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Abstract

We study the asymptotic (as n→∞) zero distribution of where μ ∈ C, sn is nth section, tn is nth tail of the power series of classical Lindelöf function Γλ of order λ. Our results generalize the results by A. Edrei, E. B. Saff, and R. S. Varga for the case μ = 0. © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

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